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2231123101 is a prime number
BaseRepresentation
bin1000010011111100…
…0011110010011101
312202111020210111221
42010333003302131
514032131414401
61005220413341
7106201143034
oct20477036235
95674223457
102231123101
11a45457899
12523247251
1329730a8ac
1417245d71b
15d0d187a1
hex84fc3c9d

2231123101 has 2 divisors, whose sum is σ = 2231123102. Its totient is φ = 2231123100.

The previous prime is 2231123087. The next prime is 2231123131. The reversal of 2231123101 is 1013211322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2139155001 + 91968100 = 46251^2 + 9590^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231123101 - 213 = 2231114909 is a prime.

It is a super-3 number, since 3×22311231013 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231123131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115561550 + 1115561551.

It is an arithmetic number, because the mean of its divisors is an integer number (1115561551).

Almost surely, 22231123101 is an apocalyptic number.

It is an amenable number.

2231123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231123101 is an equidigital number, since it uses as much as digits as its factorization.

2231123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2231123101 is about 47234.7658086711. The cubic root of 2231123101 is about 1306.6958474831.

Adding to 2231123101 its reverse (1013211322), we get a palindrome (3244334423).

The spelling of 2231123101 in words is "two billion, two hundred thirty-one million, one hundred twenty-three thousand, one hundred one".